%0 Journal Article
%T 幂零p.p.-环和幂零Baer环的Ore扩张<br>On Ore extensions of nilpotent p.p.-rings and nilpotent Baer rings
%A 王尧
%A 张玖琳
%A 任艳丽&lt
%A br&gt
%A WANG Yao
%A ZHANG Jiu-lin
%A REN Yan-li
%J 山东大学学报（理学版）
%D 2015
%R 10.6040/j.issn.1671-9352.0.2014.494
%X 摘要： 研究环的Ore扩张的幂零p.p.性,幂零Baer性和弱McCoy性,主要证明了:设R是一个拟IFP和(α,δ)-condition环,则有(1)如果R是幂零p.p.-环,则R[x;α,δ]是幂零p.p.-环; (2)如果R是幂零Baer环,则 R[x;α,δ]是幂零Baer环; (3)R[x;α,δ]是右弱McCoy环.<br>Abstract: The nilpotent p.p., nilpotent Baer and weak McCoy property of the Ore extensions of a ring are investigated. Let R be a quasi-IFP and (α,δ)-condition ring. It is mainly shown that (1) if R is a nilpotent p.p.-ring, then R[x;α,δ] is a nilpotent p.p.-ring; (2) if R is a nilpotent Baer ring, then R[x;α,δ] is a nilpotent Baer ring; (3) R[x;α,δ] is a weak McCoy ring
%K (&lt
%K em&gt
%K &alpha
%K &lt
%K /em&gt
%K &lt
%K em&gt
%K &delta
%K 弱McCoy环
%K 幂零p.p.-环
%K &lt
%K /em&gt
%K )-condition环
%K 拟 IFP 环
%K 幂零Baer环
%K &lt
%K br&gt
%K quasi-IFP ring
%K (&lt
%K em&gt
%K α&lt
%K /em&gt
%K &lt
%K em&gt
%K δ&lt
%K /em&gt
%K )-condition ring
%K nilpotent p.p.-ring
%K weak McCoy ring
%K nilpotent Baer ring
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2014.494